Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 277676 Luke Durant 1 58.0015 66810 Curtis Cooper 9 56.5769 60120 Patrick Laroche 1 56.4714 48979 Jonathan (Jon) Pace 1 56.2664 39687 Ryan Propper 347 56.0561 9416 Serge Batalov 386.333 54.6175 8240 Edson Smith 1 54.4841 7969 Odd Magnar Strindmo 1 54.4507 5230 Hans-Michael Elvenich 1 54.0294 3165 Steven R. Boone 1 53.5273 3056 Péter Szabolcs 1 53.4922 2707 Tom Greer 124 53.3709 1747 Dr. Martin Nowak 1 52.9330 1726 Anonymous Person(s) 222 52.9206 1660 Dr. James Scott Brown 189 52.8821 1525 Mark Williams 5 52.7967 1380 Josh Findley 1 52.6968 1195 Jonas Skendelis 1 52.5535 1168 Pavel Atnashev 8 52.5303 1160 Rob Gahan 32.5 52.5233

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.